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Mathematical modelling systems and decisions

Grant number: 14/18711-3
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: February 15, 2015
End date: April 14, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:José Mário Martinez Perez
Grantee:José Mário Martinez Perez
Visiting researcher: Natasa Krejic
Visiting researcher institution: University of Novi Sad, Serbia
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:13/05475-7 - Computational methods in optimization, AP.TEM

Abstract

At every human activity decisions are taken according to models that try to foresee the future. The accuracy of different models is subject to very problem-dependent levels of uncertainty. After the actual ocurrence of some event, the models should be updated. This project deals with criteria and techniques for updating models and their practical consequences. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)

Scientific publications (7)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BIRGIN, E. G.; MARTINEZ, J. M.. THE USE OF QUADRATIC REGULARIZATION WITH A CUBIC DESCENT CONDITION FOR UNCONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 27, n. 2, p. 1049-1074, . (13/07375-0, 13/05475-7, 14/18711-3, 13/03447-6)
BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. ITERATION AND EVALUATION COMPLEXITY FOR THE MINIMIZATION OF FUNCTIONS WHOSE COMPUTATION IS INTRINSICALLY INEXACT. Mathematics of Computation, v. 89, n. 321, p. 253-278, . (13/03447-6, 13/05475-7, 13/07375-0, 14/18711-3, 16/01860-1)
BIRGIN, E. G.; MARTINEZ, J. M.. ON REGULARIZATION AND ACTIVE-SET METHODS WITH COMPLEXITY FOR CONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 28, n. 2, p. 1367-1395, . (14/18711-3, 13/07375-0, 13/03447-6, 13/05475-7)
ARIAS, C. A.; MARTINEZ, J. M.. Fast convergence of an inexact interior point method for horizontal complementarity problems. NUMERICAL ALGORITHMS, v. 79, n. 4, p. 1187-1210, . (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)
BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. On the minimization of possibly discontinuous functions by means of pointwise approximations. Optimization Letters, v. 11, n. 8, p. 1623-1637, . (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)
BIRGIN, ERNESTO G.; LOBATO, RAFAEL D.; MARTINEZ, JOSE MARIO. Constrained optimization with integer and continuous variables using inexact restoration and projected gradients. BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, v. 4, n. 2, p. 55-70, . (13/05475-7, 15/18053-9, 13/07375-0, 13/03447-6, 14/18711-3, 10/10133-0)
BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. ON THE EMPLOYMENT OF INEXACT RESTORATION FOR THE MINIMIZATION OF FUNCTIONS WHOSE EVALUATION IS SUBJECT TO ERRORS. Mathematics of Computation, v. 87, n. 311, p. 1307-1326, . (13/07375-0, 14/18711-3, 13/05475-7, 10/10133-0, 13/03447-6)